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ladessa [460]
3 years ago
9

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

Mathematics
2 answers:
kkurt [141]3 years ago
6 0

Answer:

<h2>B.</h2>

Step-by-step explanation:

First, we need to compare vertices from the original figure and the transformed one.

P(-3,-2) \implies P'(2,3)\\Q(-2,-3) \implies Q'(3, 2)\\R(-3,-4) \implies R'(4,3)\\S(-4,-4) \implies S'(4,4)

You can observe that coordinates where changed of position. Also, the vertical coordinate of the transformed figure has opposite sign.

In other words, the transformation follows the rule

(x,y) \implies (-y,x)

P'(2,-3)\\Q'(3,-2)\\R'(4,-3)\\S'(4,-4)

However, notice that the coordinates are not the same as the given transformation. That is because the second transformation applied was a reflection accros the x-axis which follows the rule

(x,y) \implies (x,-y)

Applying the rule, we have

P'(2,3)\\Q'(3,2)\\R'(4,3)\\S'(4,4)

Which are congruent with the given transformed coordinates.

Therefore, the transformations are a 90° rotation counterclockwise and a reflection accros the x-axis. The right answer is B.

katrin [286]3 years ago
4 0
I’m pretty sure it would be B.
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